Trump forcibly condemned Franken in multiple tweets but has remained silent on the accusations against Moore.
It's a rationale not unlike the one used by some uneasy Republicans previous year to justify voting for Mr Trump following the Access Hollywood tape revelations and allegations that he had harassed or assaulted more than a dozen women.
"I'll be letting you know next week", he said, when asked whether he will campaign with Moore.
In the same appearance, Trump appeared to throw his support behind Moore, despite the allegations of sexual misconduct against the Alabama Senate candidate.
Accompanied by Vice President Mike Pence (R), U.S. President Donald Trump (L) leaves the Capitol after he attended a House Republican Conference meeting November 16, 2017 in Washington, DC.More news: Sean Hannity fans boycott Keurig, but will it make a dent?
Six women have accused the Republican Moore of pursuing romantic relationships with them when they were teenagers and he was an assistant district attorney in his 30s. Trump pointed to Moore's assertions that he did nothing wrong.
"I can tell you one thing for sure, we don't need a liberal person in there", Trump said. And Trump's appeal to tribalism - any Republican is better than any Democrat exclusively by dint of being a Republican - will further worsen what is already the deepest polarization in Congress and the country in modern American history.
For Mr Trump, who notes that Mr Moore has repeatedly denied the allegations, the line has not yet been crossed.
Colorado Sen. Cory Gardner, who chairs the Senate Republican campaign arm, went so far as to suggest that if Moore managed to win the race, he would be expelled from the chamber soon after being seated.
Asked about the wave of sexual harassment and sexual abuse allegations more generally, the president said, "I think it's a very special time, because a lot of things are coming out".More news: White House's New Defense Of Trump's Moore Silence: He Supported Strange!
More than a dozen women came forward at the end of the 2016 presidential election to say that Mr Trump had sexually assaulted or harassed them over the years.
Young called the accusations against Moore "fake news", but wouldn't take questions.
"Well, he denies it", Trump said. "There's a special place in hell for people who prey on children".
Sessions said he had no reason to doubt Moore's accusers. That if Moore says he didn't do these things, then he must not have. He quoted a man who he said used to work at the mall and knew of no such ban.More news: Tillis dies at 85